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A simple pendulum with a bob of mass ' m' oscillates from A to C and back to A such that PB is H. If the acceleration due to gravity is 'g', then the velocity of the bob, as it passes through B is 

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Important Questions on Oscillations

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In a second pendulum, mass of bob is 30 g. If it is replaced by 90 g mass, then its time period will be
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A heavy brass sphere is hung from a weightless inelastic cord and acts as a simple pendulum with its period of oscillation T. The sphere is immersed in non-viscous liquid of density 110th  of the density of brass. Then it will act as a simple pendulum of period 
 
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The bob of a simple pendulum performs S.H.M. with period T In air and with periodT1 T' ' And T1' ' Is (neglect friction due to water, density of the material of the bob is 98×103 kg m-3, density of water=1g cc-1)
 
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Two simple pendulums of length 5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed n oscillations. The value of n is then:-
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The acceleration due to gravity at a place is π2 m s-2. Then the time period of a simple pendulum of length one metre is
 
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A simple pendulum of length 1 m is freely suspended from the ceiling of an elevator. The time period of small oscillations as the elevator moves up with an acceleration of 2 m s-2, g=10 m s-2
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Two simple pendulums A and B are made to oscillate simultaneously, and it is found that A completes 10 oscillations in 20 s and B completes 8 oscillations in 10 s. The ratio of the lengths of A and B is
 
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When the length of a simple pendulum is decreased by 600 mm, the period of oscillation is halved. The original length of the pendulum was